4038288000009 has 16 divisors (see below), whose sum is σ = 5565656538624. Its totient is φ = 2601792691200.

The previous prime is 4038287999959. The next prime is 4038288000067. The reversal of 4038288000009 is 9000008828304.

It is a happy number.

It is not a de Polignac number, because 4038288000009 - 2²¹ = 4038285902857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4038288000709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29551512 + ... + 29687849.

It is an arithmetic number, because the mean of its divisors is an integer number (347853533664).

Almost surely, 2^{4038288000009} is an apocalyptic number.

It is an amenable number.

4038288000009 is a deficient number, since it is larger than the sum of its proper divisors (1527368538615).

4038288000009 is a wasteful number, since it uses less digits than its factorization.

4038288000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59240128.

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 4038288000009 in words is "four trillion, thirty-eight billion, two hundred eighty-eight million, nine", and thus it is an aban number.